Hybrid algebras
place blocks of group algebras of finite groups into a wider context, this is seen via homological
characterizations. In
[1]} we introduce
algebras of generalized
quaternion type, as tame symmetric
algebras which are periodic as algebras of period 4, this generalizes quaternion
blocks. We show
that weighted surface algebras as in [2]} are essentially the same as algebras of generalized
quaternion type whose Gabriel quiver is 2-regular (see the Main Theorem in [1]}).
Similarly, in [4]} we introduce algebras
of generalized dihedral type, in terms of homological properties
generalizing dihedral blocks. We define biserial weighted surface algebras (with \(f^3=1\)  where all minimal relations are biserial, see Section 5 of [4]}), and show that
biserial weighted surface algebras are almost the same as algebras of generalized dihedral type (see Theorem 1 in [4]}).
